34125144250551 has 32 divisors (see below), whose sum is σ = 50271928501248. Its totient is φ = 20480653923840.

The previous prime is 34125144250529. The next prime is 34125144250559. The reversal of 34125144250551 is 15505244152143.

It is not a de Polignac number, because 34125144250551 - 2¹⁰ = 34125144249527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125144250559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148054686 + ... + 148284996.

It is an arithmetic number, because the mean of its divisors is an integer number (1570997765664).

Almost surely, 2^{34125144250551} is an apocalyptic number.

34125144250551 is a deficient number, since it is larger than the sum of its proper divisors (16146784250697).

34125144250551 is a wasteful number, since it uses less digits than its factorization.

34125144250551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356671.

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 34125144250551 in words is "thirty-four trillion, one hundred twenty-five billion, one hundred forty-four million, two hundred fifty thousand, five hundred fifty-one".